7. Joni has 4 yards of ribbon. How many centimeters is that? 1 inch ~ 2.54 centimeters, 1 yard = 3 feet, 1 foot = 12 inches *

To find ∫x^3(x^4-15)^7 dx, u-substitution can be used with u = x^4 - 15.

Let u = x^4 - 15. Take the derivative of u with respect to x: du/dx = 4x^3.

Rearrange the equation to solve for dx: dx = du / (4x^3).

Substitute u and dx into the integral: ∫x^3(x^4-15)^7 dx = ∫(x^3)(u^7)(du / (4x^3)).

Simplify the integral: ∫(u^7)/4 du.

Integrate to find the antiderivative of (u^7)/4: (1/4)(u^8) / 8.

Substitute back u = x^4 - 15: (1/32)(x^4 - 15)^8 + C, where C is the constant of integration.

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Answer: this diagram is not a function because one input need one output and 0 and -4 share the output -2

Step-by-step explanation:

Answer:

S = (-6, -1)

T = (-7, 4)

U = (-6, 9)

V = (-4, 4)

Answer: its 73,000

Step-by-step explanation: the answer sheet has the answers...

The solution to the differential equation with the given initial conditions is:

y1(t) = e^(-10t) cos(t/2) + 5 e^(-10t) sin(t/2)

To solve the differential equation 25y′′ + 100y′ + 19y = 0, we can first find the characteristic equation by assuming a solution of the form y = e^(rt):

25r^2 + 100r + 19 = 0

Solving for r using the quadratic formula:

r = (-100 ± sqrt(100^2 - 42519)) / (2*25) = (-100 ± 5i) / 10 = -10 ± i/2

So the general solution to the differential equation is:

y(t) = c1 e^(-10t) cos(t/2) + c2 e^(-10t) sin(t/2)

Using the initial conditions y(0) = 1 and y'(0) = 0:

y(0) = c1 = 1

y'(0) = -10c1/2 + c2 = 0

Solving for c2:

c2 = 5c1 = 5

So the solution to the differential equation with the given initial conditions is:

y1(t) = e^(-10t) cos(t/2) + 5 e^(-10t) sin(t/2)

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The probability of obtaining tails and the number 5 is 1/12

the probability of obtaining an even number is 1/2

P(heads and prime number)  1/4

Since the events are independent, the probability of obtaining tails and the number 5 is:

P(tails and 5) = P(tails) * P(5) = (1/2) * (1/6) = 1/12

The coin toss outcome is irrelevant, so the probability of obtaining an even number is:

P(even number) = 1/2

The probability of obtaining heads and a prime number is:

P(heads and prime number) = P(heads) * P(prime number) = (1/2) * (1/2) = 1/4

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Answer:

Below

Step-by-step explanation:

100 * 170/200

= 170/2

= 85%.

Answer:

0.0816

Step-by-step explanation:

Given:

Let O = Students taking an online class

Let B = Students prefer watching baseball to football

Therefore,

P(O) = 1200/5000 = 0.24

P(B) = 1700/5000 = 0.34

If events O and B are independent,

⇒ P(O ∩ B) = P(O) · P(B)

                   = 0.24 × 0.34

                   = 0.0816

Answer:

123icuxxiffatjtjfug8utkxi93hkgodo c office c 8f

Answer:

Step-by-step explanation:

1 + 2 + 4 = 7

7x = 1400

x = 1400/2 = 200

1(200) + 2(200) + 4(200) = 1400

Sand:  200 kg

Gravel:  400 kg

Cement:  800 kg

You would need 200 kg of sand, 400 kg of gravel, and 800 kg of cement to make 1400 kg of dry concrete using the ratio 1:2:4,

Let's assign variables to represent the quantities:

Let x be the quantity of sand.

Let y be the quantity of gravel.

Let z be the quantity of cement.

According to the given ratio, the quantities will be as follows:

Sand: x

Gravel: 2x (twice the amount of sand)

Cement: 4x (four times the amount of sand)

The total weight of the dry concrete is the sum of the weights of the individual components:

x + 2x + 4x = 1400 kg

Combining like terms:

7x = 1400 kg

Dividing both sides of the equation by 7:

x = 200 kg

Now that we know the quantity of sand, we can find the quantities of gravel and cement:

Gravel: 2x = 2 × 200 kg = 400 kg

Cement: 4x = 4 × 200 kg = 800 kg

Therefore, you would need 200 kg of sand, 400 kg of gravel, and 800 kg of cement.

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Answer:

the y-values for the x-values, starting with -3, are:

-5, -4, -3, -2, -1, 0, 1

Step-by-step explanation:

for each, plug the x-value into the equation y = x - 2 and get the result

example, when x = -3 then y = (-3 - 2) which is -5

Answer:

Explanation:

From vertex form of quadratic function g(x)=a(x-h)²+k  the h and k are coordinates of vertex transformed from point (0,0) which is the vertex of parental function f(x)=ax²

It means the h determines how many units we moved parental graph horizontaly (to the left  if h<0, to the right if h>0) and the k determines how many units we moved parental graph verticaly  (down if h<0, up if  h>0)

g(x) = (x - 8)² + 5  ⇒  h = 8,  k = 5

So if h and k are >0 it means the parental graph was moved to the right and up.

Answer:

I think I've answered this question before.

Step-by-step explanation:

the measurement of the short side of the rectangle is approximately 8.09 cm.

Let's assume that the rectangle's sides are x and y, where x is the short side and y is the long side. We know that the area of the rectangle is 106.92 cm², so we can write:

x * y = 106.92

We also know that the long side measurement is 13.2 cm, so we can substitute y with 13.2 in the equation above:

x * 13.2 = 106.92

Solving for x, we get:

x = 106.92 / 13.2

x = 8.09

Therefore, the measurement of the short side of the rectangle is approximately 8.09 cm.

To explain this solution in 200 words, we can say that the area of a rectangle is equal to the product of its length and width. In this case, we are given the area and the length of the rectangle, but we need to find the width (short side). We use the formula for the area of a rectangle to write an equation in terms of the unknown width and the known length. Then, we substitute the known length with its value and solve for the unknown width. The resulting value is the measurement of the short side of the rectangle.

It's important to note that in some cases, there may be multiple possible solutions for the width of the rectangle, depending on the dimensions of the rectangle. However, in this particular case, there is only one possible solution, as the length and area of the rectangle are fixed.

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Answer:

duck off dude

Step-by-step explanation:

Answer:

√273

Step-by-step explanation:

x² = 17² – 4²

x² = 289 –16

x = √273

pick me as the brainliest. thx

Answer: 17.1

Step-by-step explanation:

U do 11.4/2 then u add that number to 11.4 and get your answer

The archway is about 20.8 meters wide at ground level.

We can start by using the formula for a parabolic archway:

y = a\((x-h)^{2}\) + k

where y is the height, x is the width at a certain height, h is the horizontal distance from the vertex to the center of the archway, k represents the height of the vertex, and a determines the shape of the parabola.

We know that the archway is 12 meters high at the vertex, so we can plug in the values we have:

12 = a\((0-h)^{2}\) + k

12 = a\(h^{2}\) + 12

Simplifying this equation, we get:

a = -1/(4h)

We also know that at a height of 10 meters, the width of the archway is 8 meters. Plugging in these values:

10 = a\((4-h)^{2}\) + 12

10 = -1/(4h)\((16-8h)^{2}\) + 12

Simplifying this equation, we get a quadratic equation in terms of h:

0 = 2\(h^{2}\) - 3h - 14

h = 2 or h = -7/2

Since h represents a distance, it cannot be negative, so we take h = 2.

Now we can find the width of the archway at ground level (where y = 0):

0 = a\((x-2)^{2}\) + 12

-a\((x-2)^{2}\) = 12

-a = 12/\((x-2)^{2}\)

Putting our value for a, we get:

1/(4h) = 12/\((x-2)^{2}\)

Solving for x, we get:

x = 20.8 meters

Therefore, the archway is about 20.8 meters wide at ground level.

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Answer:

B. 2

Step-by-step explanation:

The number next to the variable is the coefficient. So, it is 2

Answer:

B

Step-by-step explanation:

2 is the coefficient and x is the variable.

40.8 is 34% of 120

you simply do .34 x 120.

If you were trying to do something like: 40.8 is what percent of 120? then you would do 40.8/120, and get .34, which is 34%.

A1. By using technology, the equation for the exponential function modeled by the data is \(y = 30.573(1.297)^x\).

A2. The approximate number of stores the retail chain will open in year 13 is 899 new stores.

In this scenario, the years would be plotted on the x-axis (x-coordinate) of the scatter plot while the number of new store would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.

Part A1.

On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an exponential function for the line of best fit (trend line) on the scatter plot.

From the scatter plot which models the relationship between the data set, an exponential function for the line of best fit is given by:

\(y = 30.573(1.297)^x\)

Part A2.

Next, we would determine the predicted number of new stores that the retail chain would open in year 13;

\(y = 30.573(1.297)^{13}\)

y = 898.58 ≈ 899 new stores.

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$25,000 of Geoffrey's income is subject to the net investment income tax.

The net investment income tax applies to certain types of income, including rental real estate income, and is calculated based on an individual's modified adjusted gross income (MAGI) and filing status. In the case of Geoffrey, his rental real estate income of $25,000 is subject to the net investment income tax.

To calculate the net investment income tax, we need to determine Geoffrey's MAGI. His total income for the year consists of $25,000 in rental real estate income and $180,000 in wages, totaling $205,000. Since he has no adjustments to income, his MAGI is equal to his total income of $205,000.

Therefore, the amount of Geoffrey's income subject to the net investment income tax is $25,000.

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Answer:

the correct answeria A.pretest sensitization

Answer:

u forgot to add a pic

Step-by-step explanation:

:)

Answer:

V = 50.3 in ^2

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the radius is 2 and the height is 4

V = (3.14) * (2)^2 * 4

V =50.24

Rounding to the nearest tenth

V = 50.3 in ^2

Answer:

1. x=34

2.x=10

3. x=22

4. x=81

5.x=1

6.x=-8

7.x=-6

8. x=61

9. x=0.8

10. x= 2

11. x=25.2

12.x=-4

13.x=64

14.x=29

15. x=19

Step-by-step explanation:

A standard normal distribution is a normal distribution with a mean of zero and a standard deviation of one. Option A is the correct answer.

The standard normal distribution, often known as the z-distribution, is a special sort of ordinary distribution with a mean of zero and a standard deviation of one. Option A is the correct answer.

Any normal distribution can be standardized through transforming its values into z scores. The Z scores indicate how many standard deviations a certain result is from the mean. All normal distributions are unimodal, symmetrically distributed, and have a bell-shaped curve. One such distribution is the common normal distribution. On the other hand, a normal distribution's mean and standard deviation can be any value. In the typical normal distribution, the mean and standard deviation remain constant.

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A standard normal distribution is a normal distribution with a mean of zero and a standard deviation of one.

A standard normal distribution, also known as the Z-distribution, is a specific type of normal distribution. It has a mean of zero and a standard deviation of one. The Z-distribution is often used in statistics to standardize data and calculate probabilities.

The standard normal distribution is represented by a bell-shaped curve that is symmetric around the mean of zero. The area under the curve represents the probability of a random variable falling within a certain range.

The Z-score, which measures the number of standard deviations a data point is from the mean, is commonly used in hypothesis testing and confidence interval calculations.

The standard normal distribution is widely used in various fields, including finance, psychology, and quality control.

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